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Simplifying 34 + -2r = -4(4 + 3r) 34 + -2r = (4 * -4 + 3r * -4) 34 + -2r = (-16 + -12r) Solving 34 + -2r = -16 + -12r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '12r' to each side of the equation. 34 + -2r + 12r = -16 + -12r + 12r Combine like terms: -2r + 12r = 10r 34 + 10r = -16 + -12r + 12r Combine like terms: -12r + 12r = 0 34 + 10r = -16 + 0 34 + 10r = -16 Add '-34' to each side of the equation. 34 + -34 + 10r = -16 + -34 Combine like terms: 34 + -34 = 0 0 + 10r = -16 + -34 10r = -16 + -34 Combine like terms: -16 + -34 = -50 10r = -50 Divide each side by '10'. r = -5 Simplifying r = -5
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