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