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Simplifying -7 = -3(x + -7) + 2r + 1 Reorder the terms: -7 = -3(-7 + x) + 2r + 1 -7 = (-7 * -3 + x * -3) + 2r + 1 -7 = (21 + -3x) + 2r + 1 Reorder the terms: -7 = 21 + 1 + 2r + -3x Combine like terms: 21 + 1 = 22 -7 = 22 + 2r + -3x Solving -7 = 22 + 2r + -3x Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-2r' to each side of the equation. -7 + -2r = 22 + 2r + -2r + -3x Combine like terms: 2r + -2r = 0 -7 + -2r = 22 + 0 + -3x -7 + -2r = 22 + -3x Add '7' to each side of the equation. -7 + 7 + -2r = 22 + 7 + -3x Combine like terms: -7 + 7 = 0 0 + -2r = 22 + 7 + -3x -2r = 22 + 7 + -3x Combine like terms: 22 + 7 = 29 -2r = 29 + -3x Divide each side by '-2'. r = -14.5 + 1.5x Simplifying r = -14.5 + 1.5x
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