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Simplifying 5 + -3g + 6(2y + -7) = 0 Reorder the terms: 5 + -3g + 6(-7 + 2y) = 0 5 + -3g + (-7 * 6 + 2y * 6) = 0 5 + -3g + (-42 + 12y) = 0 Reorder the terms: 5 + -42 + -3g + 12y = 0 Combine like terms: 5 + -42 = -37 -37 + -3g + 12y = 0 Solving -37 + -3g + 12y = 0 Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '37' to each side of the equation. -37 + -3g + 37 + 12y = 0 + 37 Reorder the terms: -37 + 37 + -3g + 12y = 0 + 37 Combine like terms: -37 + 37 = 0 0 + -3g + 12y = 0 + 37 -3g + 12y = 0 + 37 Combine like terms: 0 + 37 = 37 -3g + 12y = 37 Add '-12y' to each side of the equation. -3g + 12y + -12y = 37 + -12y Combine like terms: 12y + -12y = 0 -3g + 0 = 37 + -12y -3g = 37 + -12y Divide each side by '-3'. g = -12.33333333 + 4y Simplifying g = -12.33333333 + 4y
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