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Simplifying 4[r + -2] + 7 = -3[r + 5] Reorder the terms: 4[-2 + r] + 7 = -3[r + 5] [-2 * 4 + r * 4] + 7 = -3[r + 5] [-8 + 4r] + 7 = -3[r + 5] Reorder the terms: -8 + 7 + 4r = -3[r + 5] Combine like terms: -8 + 7 = -1 -1 + 4r = -3[r + 5] Reorder the terms: -1 + 4r = -3[5 + r] -1 + 4r = [5 * -3 + r * -3] -1 + 4r = [-15 + -3r] Solving -1 + 4r = -15 + -3r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '3r' to each side of the equation. -1 + 4r + 3r = -15 + -3r + 3r Combine like terms: 4r + 3r = 7r -1 + 7r = -15 + -3r + 3r Combine like terms: -3r + 3r = 0 -1 + 7r = -15 + 0 -1 + 7r = -15 Add '1' to each side of the equation. -1 + 1 + 7r = -15 + 1 Combine like terms: -1 + 1 = 0 0 + 7r = -15 + 1 7r = -15 + 1 Combine like terms: -15 + 1 = -14 7r = -14 Divide each side by '7'. r = -2 Simplifying r = -2
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