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Simplifying 8 + 3(2r + -7) + -3(4r + 6) * 7 = 0 Reorder the terms: 8 + 3(-7 + 2r) + -3(4r + 6) * 7 = 0 8 + (-7 * 3 + 2r * 3) + -3(4r + 6) * 7 = 0 8 + (-21 + 6r) + -3(4r + 6) * 7 = 0 Reorder the terms: 8 + -21 + 6r + -3(6 + 4r) * 7 = 0 Reorder the terms for easier multiplication: 8 + -21 + 6r + -3 * 7(6 + 4r) = 0 Multiply -3 * 7 8 + -21 + 6r + -21(6 + 4r) = 0 8 + -21 + 6r + (6 * -21 + 4r * -21) = 0 8 + -21 + 6r + (-126 + -84r) = 0 Reorder the terms: 8 + -21 + -126 + 6r + -84r = 0 Combine like terms: 8 + -21 = -13 -13 + -126 + 6r + -84r = 0 Combine like terms: -13 + -126 = -139 -139 + 6r + -84r = 0 Combine like terms: 6r + -84r = -78r -139 + -78r = 0 Solving -139 + -78r = 0 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '139' to each side of the equation. -139 + 139 + -78r = 0 + 139 Combine like terms: -139 + 139 = 0 0 + -78r = 0 + 139 -78r = 0 + 139 Combine like terms: 0 + 139 = 139 -78r = 139 Divide each side by '-78'. r = -1.782051282 Simplifying r = -1.782051282
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