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Simplifying 3(10g + -4) + 2(5g + -8) = 0 Reorder the terms: 3(-4 + 10g) + 2(5g + -8) = 0 (-4 * 3 + 10g * 3) + 2(5g + -8) = 0 (-12 + 30g) + 2(5g + -8) = 0 Reorder the terms: -12 + 30g + 2(-8 + 5g) = 0 -12 + 30g + (-8 * 2 + 5g * 2) = 0 -12 + 30g + (-16 + 10g) = 0 Reorder the terms: -12 + -16 + 30g + 10g = 0 Combine like terms: -12 + -16 = -28 -28 + 30g + 10g = 0 Combine like terms: 30g + 10g = 40g -28 + 40g = 0 Solving -28 + 40g = 0 Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '28' to each side of the equation. -28 + 28 + 40g = 0 + 28 Combine like terms: -28 + 28 = 0 0 + 40g = 0 + 28 40g = 0 + 28 Combine like terms: 0 + 28 = 28 40g = 28 Divide each side by '40'. g = 0.7 Simplifying g = 0.7
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