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Simplifying -23 + -7r = 2(4r + -4) Reorder the terms: -23 + -7r = 2(-4 + 4r) -23 + -7r = (-4 * 2 + 4r * 2) -23 + -7r = (-8 + 8r) Solving -23 + -7r = -8 + 8r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-8r' to each side of the equation. -23 + -7r + -8r = -8 + 8r + -8r Combine like terms: -7r + -8r = -15r -23 + -15r = -8 + 8r + -8r Combine like terms: 8r + -8r = 0 -23 + -15r = -8 + 0 -23 + -15r = -8 Add '23' to each side of the equation. -23 + 23 + -15r = -8 + 23 Combine like terms: -23 + 23 = 0 0 + -15r = -8 + 23 -15r = -8 + 23 Combine like terms: -8 + 23 = 15 -15r = 15 Divide each side by '-15'. r = -1 Simplifying r = -1
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