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Simplifying -65(r + 32) = -78(r + 60) Reorder the terms: -65(32 + r) = -78(r + 60) (32 * -65 + r * -65) = -78(r + 60) (-2080 + -65r) = -78(r + 60) Reorder the terms: -2080 + -65r = -78(60 + r) -2080 + -65r = (60 * -78 + r * -78) -2080 + -65r = (-4680 + -78r) Solving -2080 + -65r = -4680 + -78r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '78r' to each side of the equation. -2080 + -65r + 78r = -4680 + -78r + 78r Combine like terms: -65r + 78r = 13r -2080 + 13r = -4680 + -78r + 78r Combine like terms: -78r + 78r = 0 -2080 + 13r = -4680 + 0 -2080 + 13r = -4680 Add '2080' to each side of the equation. -2080 + 2080 + 13r = -4680 + 2080 Combine like terms: -2080 + 2080 = 0 0 + 13r = -4680 + 2080 13r = -4680 + 2080 Combine like terms: -4680 + 2080 = -2600 13r = -2600 Divide each side by '13'. r = -200 Simplifying r = -200
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