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Simplifying -5(2r + 2) = 7(8r + 8) Reorder the terms: -5(2 + 2r) = 7(8r + 8) (2 * -5 + 2r * -5) = 7(8r + 8) (-10 + -10r) = 7(8r + 8) Reorder the terms: -10 + -10r = 7(8 + 8r) -10 + -10r = (8 * 7 + 8r * 7) -10 + -10r = (56 + 56r) Solving -10 + -10r = 56 + 56r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-56r' to each side of the equation. -10 + -10r + -56r = 56 + 56r + -56r Combine like terms: -10r + -56r = -66r -10 + -66r = 56 + 56r + -56r Combine like terms: 56r + -56r = 0 -10 + -66r = 56 + 0 -10 + -66r = 56 Add '10' to each side of the equation. -10 + 10 + -66r = 56 + 10 Combine like terms: -10 + 10 = 0 0 + -66r = 56 + 10 -66r = 56 + 10 Combine like terms: 56 + 10 = 66 -66r = 66 Divide each side by '-66'. r = -1 Simplifying r = -1
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