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Simplifying 6r + -40 = -2 + -4(8 + -3r) Reorder the terms: -40 + 6r = -2 + -4(8 + -3r) -40 + 6r = -2 + (8 * -4 + -3r * -4) -40 + 6r = -2 + (-32 + 12r) Combine like terms: -2 + -32 = -34 -40 + 6r = -34 + 12r Solving -40 + 6r = -34 + 12r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-12r' to each side of the equation. -40 + 6r + -12r = -34 + 12r + -12r Combine like terms: 6r + -12r = -6r -40 + -6r = -34 + 12r + -12r Combine like terms: 12r + -12r = 0 -40 + -6r = -34 + 0 -40 + -6r = -34 Add '40' to each side of the equation. -40 + 40 + -6r = -34 + 40 Combine like terms: -40 + 40 = 0 0 + -6r = -34 + 40 -6r = -34 + 40 Combine like terms: -34 + 40 = 6 -6r = 6 Divide each side by '-6'. r = -1 Simplifying r = -1
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