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Simplifying 10 + -2r = -6(3r + -7) Reorder the terms: 10 + -2r = -6(-7 + 3r) 10 + -2r = (-7 * -6 + 3r * -6) 10 + -2r = (42 + -18r) Solving 10 + -2r = 42 + -18r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '18r' to each side of the equation. 10 + -2r + 18r = 42 + -18r + 18r Combine like terms: -2r + 18r = 16r 10 + 16r = 42 + -18r + 18r Combine like terms: -18r + 18r = 0 10 + 16r = 42 + 0 10 + 16r = 42 Add '-10' to each side of the equation. 10 + -10 + 16r = 42 + -10 Combine like terms: 10 + -10 = 0 0 + 16r = 42 + -10 16r = 42 + -10 Combine like terms: 42 + -10 = 32 16r = 32 Divide each side by '16'. r = 2 Simplifying r = 2
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