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Simplifying -7(9r + 5) = -10(11r + 3) + -5 Reorder the terms: -7(5 + 9r) = -10(11r + 3) + -5 (5 * -7 + 9r * -7) = -10(11r + 3) + -5 (-35 + -63r) = -10(11r + 3) + -5 Reorder the terms: -35 + -63r = -10(3 + 11r) + -5 -35 + -63r = (3 * -10 + 11r * -10) + -5 -35 + -63r = (-30 + -110r) + -5 Reorder the terms: -35 + -63r = -30 + -5 + -110r Combine like terms: -30 + -5 = -35 -35 + -63r = -35 + -110r Add '35' to each side of the equation. -35 + 35 + -63r = -35 + 35 + -110r Combine like terms: -35 + 35 = 0 0 + -63r = -35 + 35 + -110r -63r = -35 + 35 + -110r Combine like terms: -35 + 35 = 0 -63r = 0 + -110r -63r = -110r Solving -63r = -110r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '110r' to each side of the equation. -63r + 110r = -110r + 110r Combine like terms: -63r + 110r = 47r 47r = -110r + 110r Combine like terms: -110r + 110r = 0 47r = 0 Divide each side by '47'. r = 0 Simplifying r = 0
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