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Simplifying 4 + -10r = 12(r + -7) Reorder the terms: 4 + -10r = 12(-7 + r) 4 + -10r = (-7 * 12 + r * 12) 4 + -10r = (-84 + 12r) Solving 4 + -10r = -84 + 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. 4 + -10r + -12r = -84 + 12r + -12r Combine like terms: -10r + -12r = -22r 4 + -22r = -84 + 12r + -12r Combine like terms: 12r + -12r = 0 4 + -22r = -84 + 0 4 + -22r = -84 Add '-4' to each side of the equation. 4 + -4 + -22r = -84 + -4 Combine like terms: 4 + -4 = 0 0 + -22r = -84 + -4 -22r = -84 + -4 Combine like terms: -84 + -4 = -88 -22r = -88 Divide each side by '-22'. r = 4 Simplifying r = 4
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