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Simplifying -16(2r + -7) = 4(5 + -3r) Reorder the terms: -16(-7 + 2r) = 4(5 + -3r) (-7 * -16 + 2r * -16) = 4(5 + -3r) (112 + -32r) = 4(5 + -3r) 112 + -32r = (5 * 4 + -3r * 4) 112 + -32r = (20 + -12r) Solving 112 + -32r = 20 + -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. 112 + -32r + 12r = 20 + -12r + 12r Combine like terms: -32r + 12r = -20r 112 + -20r = 20 + -12r + 12r Combine like terms: -12r + 12r = 0 112 + -20r = 20 + 0 112 + -20r = 20 Add '-112' to each side of the equation. 112 + -112 + -20r = 20 + -112 Combine like terms: 112 + -112 = 0 0 + -20r = 20 + -112 -20r = 20 + -112 Combine like terms: 20 + -112 = -92 -20r = -92 Divide each side by '-20'. r = 4.6 Simplifying r = 4.6
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