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Simplifying 2r + -6 = -5(1 + -2r) + 7 Reorder the terms: -6 + 2r = -5(1 + -2r) + 7 -6 + 2r = (1 * -5 + -2r * -5) + 7 -6 + 2r = (-5 + 10r) + 7 Reorder the terms: -6 + 2r = -5 + 7 + 10r Combine like terms: -5 + 7 = 2 -6 + 2r = 2 + 10r Solving -6 + 2r = 2 + 10r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-10r' to each side of the equation. -6 + 2r + -10r = 2 + 10r + -10r Combine like terms: 2r + -10r = -8r -6 + -8r = 2 + 10r + -10r Combine like terms: 10r + -10r = 0 -6 + -8r = 2 + 0 -6 + -8r = 2 Add '6' to each side of the equation. -6 + 6 + -8r = 2 + 6 Combine like terms: -6 + 6 = 0 0 + -8r = 2 + 6 -8r = 2 + 6 Combine like terms: 2 + 6 = 8 -8r = 8 Divide each side by '-8'. r = -1 Simplifying r = -1
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