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Simplifying 6r + -51 = -9(-7r + -7) Reorder the terms: -51 + 6r = -9(-7r + -7) Reorder the terms: -51 + 6r = -9(-7 + -7r) -51 + 6r = (-7 * -9 + -7r * -9) -51 + 6r = (63 + 63r) Solving -51 + 6r = 63 + 63r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-63r' to each side of the equation. -51 + 6r + -63r = 63 + 63r + -63r Combine like terms: 6r + -63r = -57r -51 + -57r = 63 + 63r + -63r Combine like terms: 63r + -63r = 0 -51 + -57r = 63 + 0 -51 + -57r = 63 Add '51' to each side of the equation. -51 + 51 + -57r = 63 + 51 Combine like terms: -51 + 51 = 0 0 + -57r = 63 + 51 -57r = 63 + 51 Combine like terms: 63 + 51 = 114 -57r = 114 Divide each side by '-57'. r = -2 Simplifying r = -2
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