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Simplifying 10 + -2r = -2(3r + -5) + -7r Reorder the terms: 10 + -2r = -2(-5 + 3r) + -7r 10 + -2r = (-5 * -2 + 3r * -2) + -7r 10 + -2r = (10 + -6r) + -7r Combine like terms: -6r + -7r = -13r 10 + -2r = 10 + -13r Add '-10' to each side of the equation. 10 + -10 + -2r = 10 + -10 + -13r Combine like terms: 10 + -10 = 0 0 + -2r = 10 + -10 + -13r -2r = 10 + -10 + -13r Combine like terms: 10 + -10 = 0 -2r = 0 + -13r -2r = -13r Solving -2r = -13r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '13r' to each side of the equation. -2r + 13r = -13r + 13r Combine like terms: -2r + 13r = 11r 11r = -13r + 13r Combine like terms: -13r + 13r = 0 11r = 0 Divide each side by '11'. r = 0 Simplifying r = 0
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