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Simplifying -7(30g + 90) = 90 + -2(64g + -91) Reorder the terms: -7(90 + 30g) = 90 + -2(64g + -91) (90 * -7 + 30g * -7) = 90 + -2(64g + -91) (-630 + -210g) = 90 + -2(64g + -91) Reorder the terms: -630 + -210g = 90 + -2(-91 + 64g) -630 + -210g = 90 + (-91 * -2 + 64g * -2) -630 + -210g = 90 + (182 + -128g) Combine like terms: 90 + 182 = 272 -630 + -210g = 272 + -128g Solving -630 + -210g = 272 + -128g Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '128g' to each side of the equation. -630 + -210g + 128g = 272 + -128g + 128g Combine like terms: -210g + 128g = -82g -630 + -82g = 272 + -128g + 128g Combine like terms: -128g + 128g = 0 -630 + -82g = 272 + 0 -630 + -82g = 272 Add '630' to each side of the equation. -630 + 630 + -82g = 272 + 630 Combine like terms: -630 + 630 = 0 0 + -82g = 272 + 630 -82g = 272 + 630 Combine like terms: 272 + 630 = 902 -82g = 902 Divide each side by '-82'. g = -11 Simplifying g = -11
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