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Simplifying -1(1 + 3r) + 3r = -9 + 4(r + -7) (1 * -1 + 3r * -1) + 3r = -9 + 4(r + -7) (-1 + -3r) + 3r = -9 + 4(r + -7) Combine like terms: -3r + 3r = 0 -1 + 0 = -9 + 4(r + -7) -1 = -9 + 4(r + -7) Reorder the terms: -1 = -9 + 4(-7 + r) -1 = -9 + (-7 * 4 + r * 4) -1 = -9 + (-28 + 4r) Combine like terms: -9 + -28 = -37 -1 = -37 + 4r Solving -1 = -37 + 4r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-4r' to each side of the equation. -1 + -4r = -37 + 4r + -4r Combine like terms: 4r + -4r = 0 -1 + -4r = -37 + 0 -1 + -4r = -37 Add '1' to each side of the equation. -1 + 1 + -4r = -37 + 1 Combine like terms: -1 + 1 = 0 0 + -4r = -37 + 1 -4r = -37 + 1 Combine like terms: -37 + 1 = -36 -4r = -36 Divide each side by '-4'. r = 9 Simplifying r = 9
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