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Simplifying 7 + 4(-2r + -10) = -1(r + 12) Reorder the terms: 7 + 4(-10 + -2r) = -1(r + 12) 7 + (-10 * 4 + -2r * 4) = -1(r + 12) 7 + (-40 + -8r) = -1(r + 12) Combine like terms: 7 + -40 = -33 -33 + -8r = -1(r + 12) Reorder the terms: -33 + -8r = -1(12 + r) -33 + -8r = (12 * -1 + r * -1) -33 + -8r = (-12 + -1r) Solving -33 + -8r = -12 + -1r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add 'r' to each side of the equation. -33 + -8r + r = -12 + -1r + r Combine like terms: -8r + r = -7r -33 + -7r = -12 + -1r + r Combine like terms: -1r + r = 0 -33 + -7r = -12 + 0 -33 + -7r = -12 Add '33' to each side of the equation. -33 + 33 + -7r = -12 + 33 Combine like terms: -33 + 33 = 0 0 + -7r = -12 + 33 -7r = -12 + 33 Combine like terms: -12 + 33 = 21 -7r = 21 Divide each side by '-7'. r = -3 Simplifying r = -3
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