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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 = 69r -51 + 69r = -63 + -63r + 63r Combine like terms: -63r + 63r = 0 -51 + 69r = -63 + 0 -51 + 69r = -63 Add '51' to each side of the equation. -51 + 51 + 69r = -63 + 51 Combine like terms: -51 + 51 = 0 0 + 69r = -63 + 51 69r = -63 + 51 Combine like terms: -63 + 51 = -12 69r = -12 Divide each side by '69'. r = -0.1739130435 Simplifying r = -0.1739130435
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