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Simplifying 10(r + 10) = 6(-7 + -2) + -4r Reorder the terms: 10(10 + r) = 6(-7 + -2) + -4r (10 * 10 + r * 10) = 6(-7 + -2) + -4r (100 + 10r) = 6(-7 + -2) + -4r Combine like terms: -7 + -2 = -9 100 + 10r = 6(-9) + -4r Multiply 6 * -9 100 + 10r = -54 + -4r Solving 100 + 10r = -54 + -4r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '4r' to each side of the equation. 100 + 10r + 4r = -54 + -4r + 4r Combine like terms: 10r + 4r = 14r 100 + 14r = -54 + -4r + 4r Combine like terms: -4r + 4r = 0 100 + 14r = -54 + 0 100 + 14r = -54 Add '-100' to each side of the equation. 100 + -100 + 14r = -54 + -100 Combine like terms: 100 + -100 = 0 0 + 14r = -54 + -100 14r = -54 + -100 Combine like terms: -54 + -100 = -154 14r = -154 Divide each side by '14'. r = -11 Simplifying r = -11
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