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Simplifying -1r + 4(r + -7) = 4(r + -3) + -10 Reorder the terms: -1r + 4(-7 + r) = 4(r + -3) + -10 -1r + (-7 * 4 + r * 4) = 4(r + -3) + -10 -1r + (-28 + 4r) = 4(r + -3) + -10 Reorder the terms: -28 + -1r + 4r = 4(r + -3) + -10 Combine like terms: -1r + 4r = 3r -28 + 3r = 4(r + -3) + -10 Reorder the terms: -28 + 3r = 4(-3 + r) + -10 -28 + 3r = (-3 * 4 + r * 4) + -10 -28 + 3r = (-12 + 4r) + -10 Reorder the terms: -28 + 3r = -12 + -10 + 4r Combine like terms: -12 + -10 = -22 -28 + 3r = -22 + 4r Solving -28 + 3r = -22 + 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. -28 + 3r + -4r = -22 + 4r + -4r Combine like terms: 3r + -4r = -1r -28 + -1r = -22 + 4r + -4r Combine like terms: 4r + -4r = 0 -28 + -1r = -22 + 0 -28 + -1r = -22 Add '28' to each side of the equation. -28 + 28 + -1r = -22 + 28 Combine like terms: -28 + 28 = 0 0 + -1r = -22 + 28 -1r = -22 + 28 Combine like terms: -22 + 28 = 6 -1r = 6 Divide each side by '-1'. r = -6 Simplifying r = -6
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