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Simplifying 12 + -5r = -6(-2 + 7r) 12 + -5r = (-2 * -6 + 7r * -6) 12 + -5r = (12 + -42r) Add '-12' to each side of the equation. 12 + -12 + -5r = 12 + -12 + -42r Combine like terms: 12 + -12 = 0 0 + -5r = 12 + -12 + -42r -5r = 12 + -12 + -42r Combine like terms: 12 + -12 = 0 -5r = 0 + -42r -5r = -42r Solving -5r = -42r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '42r' to each side of the equation. -5r + 42r = -42r + 42r Combine like terms: -5r + 42r = 37r 37r = -42r + 42r Combine like terms: -42r + 42r = 0 37r = 0 Divide each side by '37'. r = 0 Simplifying r = 0
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