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Simplifying 9(-15r + 19) = 20 + 16r Reorder the terms: 9(19 + -15r) = 20 + 16r (19 * 9 + -15r * 9) = 20 + 16r (171 + -135r) = 20 + 16r Solving 171 + -135r = 20 + 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. 171 + -135r + -16r = 20 + 16r + -16r Combine like terms: -135r + -16r = -151r 171 + -151r = 20 + 16r + -16r Combine like terms: 16r + -16r = 0 171 + -151r = 20 + 0 171 + -151r = 20 Add '-171' to each side of the equation. 171 + -171 + -151r = 20 + -171 Combine like terms: 171 + -171 = 0 0 + -151r = 20 + -171 -151r = 20 + -171 Combine like terms: 20 + -171 = -151 -151r = -151 Divide each side by '-151'. r = 1 Simplifying r = 1
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