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Simplifying 1.7(x + -0.5) + -6.4(-1g + 2) = 0 Reorder the terms: 1.7(-0.5 + x) + -6.4(-1g + 2) = 0 (-0.5 * 1.7 + x * 1.7) + -6.4(-1g + 2) = 0 (-0.85 + 1.7x) + -6.4(-1g + 2) = 0 Reorder the terms: -0.85 + 1.7x + -6.4(2 + -1g) = 0 -0.85 + 1.7x + (2 * -6.4 + -1g * -6.4) = 0 -0.85 + 1.7x + (-12.8 + 6.4g) = 0 Reorder the terms: -0.85 + -12.8 + 6.4g + 1.7x = 0 Combine like terms: -0.85 + -12.8 = -13.65 -13.65 + 6.4g + 1.7x = 0 Solving -13.65 + 6.4g + 1.7x = 0 Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '13.65' to each side of the equation. -13.65 + 6.4g + 13.65 + 1.7x = 0 + 13.65 Reorder the terms: -13.65 + 13.65 + 6.4g + 1.7x = 0 + 13.65 Combine like terms: -13.65 + 13.65 = 0.00 0.00 + 6.4g + 1.7x = 0 + 13.65 6.4g + 1.7x = 0 + 13.65 Combine like terms: 0 + 13.65 = 13.65 6.4g + 1.7x = 13.65 Add '-1.7x' to each side of the equation. 6.4g + 1.7x + -1.7x = 13.65 + -1.7x Combine like terms: 1.7x + -1.7x = 0.0 6.4g + 0.0 = 13.65 + -1.7x 6.4g = 13.65 + -1.7x Divide each side by '6.4'. g = 2.1328125 + -0.265625x Simplifying g = 2.1328125 + -0.265625x
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