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Simplifying 4(19r + -7) = 36(-35 + -31r) + 40 Reorder the terms: 4(-7 + 19r) = 36(-35 + -31r) + 40 (-7 * 4 + 19r * 4) = 36(-35 + -31r) + 40 (-28 + 76r) = 36(-35 + -31r) + 40 -28 + 76r = (-35 * 36 + -31r * 36) + 40 -28 + 76r = (-1260 + -1116r) + 40 Reorder the terms: -28 + 76r = -1260 + 40 + -1116r Combine like terms: -1260 + 40 = -1220 -28 + 76r = -1220 + -1116r Solving -28 + 76r = -1220 + -1116r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '1116r' to each side of the equation. -28 + 76r + 1116r = -1220 + -1116r + 1116r Combine like terms: 76r + 1116r = 1192r -28 + 1192r = -1220 + -1116r + 1116r Combine like terms: -1116r + 1116r = 0 -28 + 1192r = -1220 + 0 -28 + 1192r = -1220 Add '28' to each side of the equation. -28 + 28 + 1192r = -1220 + 28 Combine like terms: -28 + 28 = 0 0 + 1192r = -1220 + 28 1192r = -1220 + 28 Combine like terms: -1220 + 28 = -1192 1192r = -1192 Divide each side by '1192'. r = -1 Simplifying r = -1
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