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Simplifying -35 + -6r = -2(1 + 8r) + 7 -35 + -6r = (1 * -2 + 8r * -2) + 7 -35 + -6r = (-2 + -16r) + 7 Reorder the terms: -35 + -6r = -2 + 7 + -16r Combine like terms: -2 + 7 = 5 -35 + -6r = 5 + -16r Solving -35 + -6r = 5 + -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. -35 + -6r + 16r = 5 + -16r + 16r Combine like terms: -6r + 16r = 10r -35 + 10r = 5 + -16r + 16r Combine like terms: -16r + 16r = 0 -35 + 10r = 5 + 0 -35 + 10r = 5 Add '35' to each side of the equation. -35 + 35 + 10r = 5 + 35 Combine like terms: -35 + 35 = 0 0 + 10r = 5 + 35 10r = 5 + 35 Combine like terms: 5 + 35 = 40 10r = 40 Divide each side by '10'. r = 4 Simplifying r = 4
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