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Simplifying 2(r + -3) = 4(r + -10) Reorder the terms: 2(-3 + r) = 4(r + -10) (-3 * 2 + r * 2) = 4(r + -10) (-6 + 2r) = 4(r + -10) Reorder the terms: -6 + 2r = 4(-10 + r) -6 + 2r = (-10 * 4 + r * 4) -6 + 2r = (-40 + 4r) Solving -6 + 2r = -40 + 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. -6 + 2r + -4r = -40 + 4r + -4r Combine like terms: 2r + -4r = -2r -6 + -2r = -40 + 4r + -4r Combine like terms: 4r + -4r = 0 -6 + -2r = -40 + 0 -6 + -2r = -40 Add '6' to each side of the equation. -6 + 6 + -2r = -40 + 6 Combine like terms: -6 + 6 = 0 0 + -2r = -40 + 6 -2r = -40 + 6 Combine like terms: -40 + 6 = -34 -2r = -34 Divide each side by '-2'. r = 17 Simplifying r = 17
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