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Simplifying -46 + -7r = -1(1 + 12r) + -4r -46 + -7r = (1 * -1 + 12r * -1) + -4r -46 + -7r = (-1 + -12r) + -4r Combine like terms: -12r + -4r = -16r -46 + -7r = -1 + -16r Solving -46 + -7r = -1 + -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. -46 + -7r + 16r = -1 + -16r + 16r Combine like terms: -7r + 16r = 9r -46 + 9r = -1 + -16r + 16r Combine like terms: -16r + 16r = 0 -46 + 9r = -1 + 0 -46 + 9r = -1 Add '46' to each side of the equation. -46 + 46 + 9r = -1 + 46 Combine like terms: -46 + 46 = 0 0 + 9r = -1 + 46 9r = -1 + 46 Combine like terms: -1 + 46 = 45 9r = 45 Divide each side by '9'. r = 5 Simplifying r = 5
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