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Simplifying 2(-3r + -19) + 8 = -4r Reorder the terms: 2(-19 + -3r) + 8 = -4r (-19 * 2 + -3r * 2) + 8 = -4r (-38 + -6r) + 8 = -4r Reorder the terms: -38 + 8 + -6r = -4r Combine like terms: -38 + 8 = -30 -30 + -6r = -4r Solving -30 + -6r = -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. -30 + -6r + 4r = -4r + 4r Combine like terms: -6r + 4r = -2r -30 + -2r = -4r + 4r Combine like terms: -4r + 4r = 0 -30 + -2r = 0 Add '30' to each side of the equation. -30 + 30 + -2r = 0 + 30 Combine like terms: -30 + 30 = 0 0 + -2r = 0 + 30 -2r = 0 + 30 Combine like terms: 0 + 30 = 30 -2r = 30 Divide each side by '-2'. r = -15 Simplifying r = -15
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