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Simplifying -5(3r + 2) = -4(2 + 4r) Reorder the terms: -5(2 + 3r) = -4(2 + 4r) (2 * -5 + 3r * -5) = -4(2 + 4r) (-10 + -15r) = -4(2 + 4r) -10 + -15r = (2 * -4 + 4r * -4) -10 + -15r = (-8 + -16r) Solving -10 + -15r = -8 + -16r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '16r' to each side of the equation. -10 + -15r + 16r = -8 + -16r + 16r Combine like terms: -15r + 16r = 1r -10 + 1r = -8 + -16r + 16r Combine like terms: -16r + 16r = 0 -10 + 1r = -8 + 0 -10 + 1r = -8 Add '10' to each side of the equation. -10 + 10 + 1r = -8 + 10 Combine like terms: -10 + 10 = 0 0 + 1r = -8 + 10 1r = -8 + 10 Combine like terms: -8 + 10 = 2 1r = 2 Divide each side by '1'. r = 2 Simplifying r = 2
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