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Simplifying 8(4r + -1) + -12r = 11(2r + -6) Reorder the terms: 8(-1 + 4r) + -12r = 11(2r + -6) (-1 * 8 + 4r * 8) + -12r = 11(2r + -6) (-8 + 32r) + -12r = 11(2r + -6) Combine like terms: 32r + -12r = 20r -8 + 20r = 11(2r + -6) Reorder the terms: -8 + 20r = 11(-6 + 2r) -8 + 20r = (-6 * 11 + 2r * 11) -8 + 20r = (-66 + 22r) Solving -8 + 20r = -66 + 22r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-22r' to each side of the equation. -8 + 20r + -22r = -66 + 22r + -22r Combine like terms: 20r + -22r = -2r -8 + -2r = -66 + 22r + -22r Combine like terms: 22r + -22r = 0 -8 + -2r = -66 + 0 -8 + -2r = -66 Add '8' to each side of the equation. -8 + 8 + -2r = -66 + 8 Combine like terms: -8 + 8 = 0 0 + -2r = -66 + 8 -2r = -66 + 8 Combine like terms: -66 + 8 = -58 -2r = -58 Divide each side by '-2'. r = 29 Simplifying r = 29
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