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Simplifying (-3 * 9 + 7)(2r + 3) = [(-5r + -4) * 4 + -1(14)] * 2 Multiply -3 * 9 (-27 + 7)(2r + 3) = [(-5r + -4) * 4 + -1(14)] * 2 Combine like terms: -27 + 7 = -20 (-20)(2r + 3) = [(-5r + -4) * 4 + -1(14)] * 2 Reorder the terms: -20(3 + 2r) = [(-5r + -4) * 4 + -1(14)] * 2 (3 * -20 + 2r * -20) = [(-5r + -4) * 4 + -1(14)] * 2 (-60 + -40r) = [(-5r + -4) * 4 + -1(14)] * 2 Reorder the terms: -60 + -40r = [(-4 + -5r) * 4 + -1(14)] * 2 Reorder the terms for easier multiplication: -60 + -40r = [4(-4 + -5r) + -1(14)] * 2 -60 + -40r = [(-4 * 4 + -5r * 4) + -1(14)] * 2 -60 + -40r = [(-16 + -20r) + -1(14)] * 2 Multiply -1 * 14 -60 + -40r = [-16 + -20r + -14] * 2 Reorder the terms: -60 + -40r = [-16 + -14 + -20r] * 2 Combine like terms: -16 + -14 = -30 -60 + -40r = [-30 + -20r] * 2 Reorder the terms for easier multiplication: -60 + -40r = 2[-30 + -20r] -60 + -40r = [-30 * 2 + -20r * 2] -60 + -40r = [-60 + -40r] Add '60' to each side of the equation. -60 + 60 + -40r = -60 + 60 + -40r Combine like terms: -60 + 60 = 0 0 + -40r = -60 + 60 + -40r -40r = -60 + 60 + -40r Combine like terms: -60 + 60 = 0 -40r = 0 + -40r -40r = -40r Add '40r' to each side of the equation. -40r + 40r = -40r + 40r Combine like terms: -40r + 40r = 0 0 = -40r + 40r Combine like terms: -40r + 40r = 0 0 = 0 Solving 0 = 0 Couldn't find a variable to solve for. This equation is an identity, all real numbers are solutions.
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