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Simplifying -10(2r + 3) + 4(r + -8) = -46 Reorder the terms: -10(3 + 2r) + 4(r + -8) = -46 (3 * -10 + 2r * -10) + 4(r + -8) = -46 (-30 + -20r) + 4(r + -8) = -46 Reorder the terms: -30 + -20r + 4(-8 + r) = -46 -30 + -20r + (-8 * 4 + r * 4) = -46 -30 + -20r + (-32 + 4r) = -46 Reorder the terms: -30 + -32 + -20r + 4r = -46 Combine like terms: -30 + -32 = -62 -62 + -20r + 4r = -46 Combine like terms: -20r + 4r = -16r -62 + -16r = -46 Solving -62 + -16r = -46 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '62' to each side of the equation. -62 + 62 + -16r = -46 + 62 Combine like terms: -62 + 62 = 0 0 + -16r = -46 + 62 -16r = -46 + 62 Combine like terms: -46 + 62 = 16 -16r = 16 Divide each side by '-16'. r = -1 Simplifying r = -1
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