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Simplifying -55 = -3(2r + 7) + 2(r + -3) Reorder the terms: -55 = -3(7 + 2r) + 2(r + -3) -55 = (7 * -3 + 2r * -3) + 2(r + -3) -55 = (-21 + -6r) + 2(r + -3) Reorder the terms: -55 = -21 + -6r + 2(-3 + r) -55 = -21 + -6r + (-3 * 2 + r * 2) -55 = -21 + -6r + (-6 + 2r) Reorder the terms: -55 = -21 + -6 + -6r + 2r Combine like terms: -21 + -6 = -27 -55 = -27 + -6r + 2r Combine like terms: -6r + 2r = -4r -55 = -27 + -4r Solving -55 = -27 + -4r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '4r' to each side of the equation. -55 + 4r = -27 + -4r + 4r Combine like terms: -4r + 4r = 0 -55 + 4r = -27 + 0 -55 + 4r = -27 Add '55' to each side of the equation. -55 + 55 + 4r = -27 + 55 Combine like terms: -55 + 55 = 0 0 + 4r = -27 + 55 4r = -27 + 55 Combine like terms: -27 + 55 = 28 4r = 28 Divide each side by '4'. r = 7 Simplifying r = 7
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