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Simplifying 3(r + -2) + -1 = 4(r + -4) Reorder the terms: 3(-2 + r) + -1 = 4(r + -4) (-2 * 3 + r * 3) + -1 = 4(r + -4) (-6 + 3r) + -1 = 4(r + -4) Reorder the terms: -6 + -1 + 3r = 4(r + -4) Combine like terms: -6 + -1 = -7 -7 + 3r = 4(r + -4) Reorder the terms: -7 + 3r = 4(-4 + r) -7 + 3r = (-4 * 4 + r * 4) -7 + 3r = (-16 + 4r) Solving -7 + 3r = -16 + 4r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-4r' to each side of the equation. -7 + 3r + -4r = -16 + 4r + -4r Combine like terms: 3r + -4r = -1r -7 + -1r = -16 + 4r + -4r Combine like terms: 4r + -4r = 0 -7 + -1r = -16 + 0 -7 + -1r = -16 Add '7' to each side of the equation. -7 + 7 + -1r = -16 + 7 Combine like terms: -7 + 7 = 0 0 + -1r = -16 + 7 -1r = -16 + 7 Combine like terms: -16 + 7 = -9 -1r = -9 Divide each side by '-1'. r = 9 Simplifying r = 9
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