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Simplifying -1(15r + 15) = 3(-4r + 1) Reorder the terms: -1(15 + 15r) = 3(-4r + 1) (15 * -1 + 15r * -1) = 3(-4r + 1) (-15 + -15r) = 3(-4r + 1) Reorder the terms: -15 + -15r = 3(1 + -4r) -15 + -15r = (1 * 3 + -4r * 3) -15 + -15r = (3 + -12r) Solving -15 + -15r = 3 + -12r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '12r' to each side of the equation. -15 + -15r + 12r = 3 + -12r + 12r Combine like terms: -15r + 12r = -3r -15 + -3r = 3 + -12r + 12r Combine like terms: -12r + 12r = 0 -15 + -3r = 3 + 0 -15 + -3r = 3 Add '15' to each side of the equation. -15 + 15 + -3r = 3 + 15 Combine like terms: -15 + 15 = 0 0 + -3r = 3 + 15 -3r = 3 + 15 Combine like terms: 3 + 15 = 18 -3r = 18 Divide each side by '-3'. r = -6 Simplifying r = -6
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