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Simplifying 12t + -1(7 + -3G) = -8t + -30 12t + (7 * -1 + -3G * -1) = -8t + -30 12t + (-7 + 3G) = -8t + -30 Reorder the terms: -7 + 3G + 12t = -8t + -30 Reorder the terms: -7 + 3G + 12t = -30 + -8t Solving -7 + 3G + 12t = -30 + -8t Solving for variable 'G'. Move all terms containing G to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 3G + 7 + 12t = -30 + 7 + -8t Reorder the terms: -7 + 7 + 3G + 12t = -30 + 7 + -8t Combine like terms: -7 + 7 = 0 0 + 3G + 12t = -30 + 7 + -8t 3G + 12t = -30 + 7 + -8t Combine like terms: -30 + 7 = -23 3G + 12t = -23 + -8t Add '-12t' to each side of the equation. 3G + 12t + -12t = -23 + -8t + -12t Combine like terms: 12t + -12t = 0 3G + 0 = -23 + -8t + -12t 3G = -23 + -8t + -12t Combine like terms: -8t + -12t = -20t 3G = -23 + -20t Divide each side by '3'. G = -7.666666667 + -6.666666667t Simplifying G = -7.666666667 + -6.666666667t
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