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Simplifying 3r + -4 = 4(r + -3) Reorder the terms: -4 + 3r = 4(r + -3) Reorder the terms: -4 + 3r = 4(-3 + r) -4 + 3r = (-3 * 4 + r * 4) -4 + 3r = (-12 + 4r) Solving -4 + 3r = -12 + 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. -4 + 3r + -4r = -12 + 4r + -4r Combine like terms: 3r + -4r = -1r -4 + -1r = -12 + 4r + -4r Combine like terms: 4r + -4r = 0 -4 + -1r = -12 + 0 -4 + -1r = -12 Add '4' to each side of the equation. -4 + 4 + -1r = -12 + 4 Combine like terms: -4 + 4 = 0 0 + -1r = -12 + 4 -1r = -12 + 4 Combine like terms: -12 + 4 = -8 -1r = -8 Divide each side by '-1'. r = 8 Simplifying r = 8
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