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Simplifying 8(-2r + 8) + 6 = 6r + 26 Reorder the terms: 8(8 + -2r) + 6 = 6r + 26 (8 * 8 + -2r * 8) + 6 = 6r + 26 (64 + -16r) + 6 = 6r + 26 Reorder the terms: 64 + 6 + -16r = 6r + 26 Combine like terms: 64 + 6 = 70 70 + -16r = 6r + 26 Reorder the terms: 70 + -16r = 26 + 6r Solving 70 + -16r = 26 + 6r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-6r' to each side of the equation. 70 + -16r + -6r = 26 + 6r + -6r Combine like terms: -16r + -6r = -22r 70 + -22r = 26 + 6r + -6r Combine like terms: 6r + -6r = 0 70 + -22r = 26 + 0 70 + -22r = 26 Add '-70' to each side of the equation. 70 + -70 + -22r = 26 + -70 Combine like terms: 70 + -70 = 0 0 + -22r = 26 + -70 -22r = 26 + -70 Combine like terms: 26 + -70 = -44 -22r = -44 Divide each side by '-22'. r = 2 Simplifying r = 2
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