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Simplifying 4(4r + 3) = 5(2r + -3) Reorder the terms: 4(3 + 4r) = 5(2r + -3) (3 * 4 + 4r * 4) = 5(2r + -3) (12 + 16r) = 5(2r + -3) Reorder the terms: 12 + 16r = 5(-3 + 2r) 12 + 16r = (-3 * 5 + 2r * 5) 12 + 16r = (-15 + 10r) Solving 12 + 16r = -15 + 10r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-10r' to each side of the equation. 12 + 16r + -10r = -15 + 10r + -10r Combine like terms: 16r + -10r = 6r 12 + 6r = -15 + 10r + -10r Combine like terms: 10r + -10r = 0 12 + 6r = -15 + 0 12 + 6r = -15 Add '-12' to each side of the equation. 12 + -12 + 6r = -15 + -12 Combine like terms: 12 + -12 = 0 0 + 6r = -15 + -12 6r = -15 + -12 Combine like terms: -15 + -12 = -27 6r = -27 Divide each side by '6'. r = -4.5 Simplifying r = -4.5
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