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Simplifying 3(r + -4) = -6r + 7(1 + 4r) Reorder the terms: 3(-4 + r) = -6r + 7(1 + 4r) (-4 * 3 + r * 3) = -6r + 7(1 + 4r) (-12 + 3r) = -6r + 7(1 + 4r) -12 + 3r = -6r + (1 * 7 + 4r * 7) -12 + 3r = -6r + (7 + 28r) Reorder the terms: -12 + 3r = 7 + -6r + 28r Combine like terms: -6r + 28r = 22r -12 + 3r = 7 + 22r Solving -12 + 3r = 7 + 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. -12 + 3r + -22r = 7 + 22r + -22r Combine like terms: 3r + -22r = -19r -12 + -19r = 7 + 22r + -22r Combine like terms: 22r + -22r = 0 -12 + -19r = 7 + 0 -12 + -19r = 7 Add '12' to each side of the equation. -12 + 12 + -19r = 7 + 12 Combine like terms: -12 + 12 = 0 0 + -19r = 7 + 12 -19r = 7 + 12 Combine like terms: 7 + 12 = 19 -19r = 19 Divide each side by '-19'. r = -1 Simplifying r = -1
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