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Simplifying 7(2r + -2) + -4r = -84 Reorder the terms: 7(-2 + 2r) + -4r = -84 (-2 * 7 + 2r * 7) + -4r = -84 (-14 + 14r) + -4r = -84 Combine like terms: 14r + -4r = 10r -14 + 10r = -84 Solving -14 + 10r = -84 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '14' to each side of the equation. -14 + 14 + 10r = -84 + 14 Combine like terms: -14 + 14 = 0 0 + 10r = -84 + 14 10r = -84 + 14 Combine like terms: -84 + 14 = -70 10r = -70 Divide each side by '10'. r = -7 Simplifying r = -7
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