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Simplifying 3[5 + -3(4 + -1g)] = 5[3(5g + -4) + 2] + -26 3[5 + (4 * -3 + -1g * -3)] = 5[3(5g + -4) + 2] + -26 3[5 + (-12 + 3g)] = 5[3(5g + -4) + 2] + -26 Combine like terms: 5 + -12 = -7 3[-7 + 3g] = 5[3(5g + -4) + 2] + -26 [-7 * 3 + 3g * 3] = 5[3(5g + -4) + 2] + -26 [-21 + 9g] = 5[3(5g + -4) + 2] + -26 Reorder the terms: -21 + 9g = 5[3(-4 + 5g) + 2] + -26 -21 + 9g = 5[(-4 * 3 + 5g * 3) + 2] + -26 -21 + 9g = 5[(-12 + 15g) + 2] + -26 Reorder the terms: -21 + 9g = 5[-12 + 2 + 15g] + -26 Combine like terms: -12 + 2 = -10 -21 + 9g = 5[-10 + 15g] + -26 -21 + 9g = [-10 * 5 + 15g * 5] + -26 -21 + 9g = [-50 + 75g] + -26 Reorder the terms: -21 + 9g = -50 + -26 + 75g Combine like terms: -50 + -26 = -76 -21 + 9g = -76 + 75g Solving -21 + 9g = -76 + 75g Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-75g' to each side of the equation. -21 + 9g + -75g = -76 + 75g + -75g Combine like terms: 9g + -75g = -66g -21 + -66g = -76 + 75g + -75g Combine like terms: 75g + -75g = 0 -21 + -66g = -76 + 0 -21 + -66g = -76 Add '21' to each side of the equation. -21 + 21 + -66g = -76 + 21 Combine like terms: -21 + 21 = 0 0 + -66g = -76 + 21 -66g = -76 + 21 Combine like terms: -76 + 21 = -55 -66g = -55 Divide each side by '-66'. g = 0.8333333333 Simplifying g = 0.8333333333
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