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Simplifying -5(2r + 3) + 9 = 3(p + -2) + 6 Reorder the terms: -5(3 + 2r) + 9 = 3(p + -2) + 6 (3 * -5 + 2r * -5) + 9 = 3(p + -2) + 6 (-15 + -10r) + 9 = 3(p + -2) + 6 Reorder the terms: -15 + 9 + -10r = 3(p + -2) + 6 Combine like terms: -15 + 9 = -6 -6 + -10r = 3(p + -2) + 6 Reorder the terms: -6 + -10r = 3(-2 + p) + 6 -6 + -10r = (-2 * 3 + p * 3) + 6 -6 + -10r = (-6 + 3p) + 6 Reorder the terms: -6 + -10r = -6 + 6 + 3p Combine like terms: -6 + 6 = 0 -6 + -10r = 0 + 3p -6 + -10r = 3p Solving -6 + -10r = 3p Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + -10r = 6 + 3p Combine like terms: -6 + 6 = 0 0 + -10r = 6 + 3p -10r = 6 + 3p Divide each side by '-10'. r = -0.6 + -0.3p Simplifying r = -0.6 + -0.3p
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