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Simplifying -353 = 7 + 8(2r + -9) Reorder the terms: -353 = 7 + 8(-9 + 2r) -353 = 7 + (-9 * 8 + 2r * 8) -353 = 7 + (-72 + 16r) Combine like terms: 7 + -72 = -65 -353 = -65 + 16r Solving -353 = -65 + 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. -353 + -16r = -65 + 16r + -16r Combine like terms: 16r + -16r = 0 -353 + -16r = -65 + 0 -353 + -16r = -65 Add '353' to each side of the equation. -353 + 353 + -16r = -65 + 353 Combine like terms: -353 + 353 = 0 0 + -16r = -65 + 353 -16r = -65 + 353 Combine like terms: -65 + 353 = 288 -16r = 288 Divide each side by '-16'. r = -18 Simplifying r = -18
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