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Simplifying -3(t + 5) + (3 + g) = -4(g + 1) Reorder the terms: -3(5 + t) + (3 + g) = -4(g + 1) (5 * -3 + t * -3) + (3 + g) = -4(g + 1) (-15 + -3t) + (3 + g) = -4(g + 1) Remove parenthesis around (3 + g) -15 + -3t + 3 + g = -4(g + 1) Reorder the terms: -15 + 3 + g + -3t = -4(g + 1) Combine like terms: -15 + 3 = -12 -12 + g + -3t = -4(g + 1) Reorder the terms: -12 + g + -3t = -4(1 + g) -12 + g + -3t = (1 * -4 + g * -4) -12 + g + -3t = (-4 + -4g) Solving -12 + g + -3t = -4 + -4g Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '4g' to each side of the equation. -12 + g + 4g + -3t = -4 + -4g + 4g Combine like terms: g + 4g = 5g -12 + 5g + -3t = -4 + -4g + 4g Combine like terms: -4g + 4g = 0 -12 + 5g + -3t = -4 + 0 -12 + 5g + -3t = -4 Add '12' to each side of the equation. -12 + 5g + 12 + -3t = -4 + 12 Reorder the terms: -12 + 12 + 5g + -3t = -4 + 12 Combine like terms: -12 + 12 = 0 0 + 5g + -3t = -4 + 12 5g + -3t = -4 + 12 Combine like terms: -4 + 12 = 8 5g + -3t = 8 Add '3t' to each side of the equation. 5g + -3t + 3t = 8 + 3t Combine like terms: -3t + 3t = 0 5g + 0 = 8 + 3t 5g = 8 + 3t Divide each side by '5'. g = 1.6 + 0.6t Simplifying g = 1.6 + 0.6t
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