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Simplifying 7 + -3r = 3 + -4(2 + r) 7 + -3r = 3 + (2 * -4 + r * -4) 7 + -3r = 3 + (-8 + -4r) Combine like terms: 3 + -8 = -5 7 + -3r = -5 + -4r Solving 7 + -3r = -5 + -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 = -5 + -4r + 4r Combine like terms: -3r + 4r = 1r 7 + 1r = -5 + -4r + 4r Combine like terms: -4r + 4r = 0 7 + 1r = -5 + 0 7 + 1r = -5 Add '-7' to each side of the equation. 7 + -7 + 1r = -5 + -7 Combine like terms: 7 + -7 = 0 0 + 1r = -5 + -7 1r = -5 + -7 Combine like terms: -5 + -7 = -12 1r = -12 Divide each side by '1'. r = -12 Simplifying r = -12
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