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Simplifying 15 + -2r + -7 + -6r = -10r + 12 + -4 + 4r Reorder the terms: 15 + -7 + -2r + -6r = -10r + 12 + -4 + 4r Combine like terms: 15 + -7 = 8 8 + -2r + -6r = -10r + 12 + -4 + 4r Combine like terms: -2r + -6r = -8r 8 + -8r = -10r + 12 + -4 + 4r Reorder the terms: 8 + -8r = 12 + -4 + -10r + 4r Combine like terms: 12 + -4 = 8 8 + -8r = 8 + -10r + 4r Combine like terms: -10r + 4r = -6r 8 + -8r = 8 + -6r Add '-8' to each side of the equation. 8 + -8 + -8r = 8 + -8 + -6r Combine like terms: 8 + -8 = 0 0 + -8r = 8 + -8 + -6r -8r = 8 + -8 + -6r Combine like terms: 8 + -8 = 0 -8r = 0 + -6r -8r = -6r Solving -8r = -6r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '6r' to each side of the equation. -8r + 6r = -6r + 6r Combine like terms: -8r + 6r = -2r -2r = -6r + 6r Combine like terms: -6r + 6r = 0 -2r = 0 Divide each side by '-2'. r = 0 Simplifying r = 0
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