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Simplifying 6(j + -7) + 5(2g + 3) = 37 Reorder the terms: 6(-7 + j) + 5(2g + 3) = 37 (-7 * 6 + j * 6) + 5(2g + 3) = 37 (-42 + 6j) + 5(2g + 3) = 37 Reorder the terms: -42 + 6j + 5(3 + 2g) = 37 -42 + 6j + (3 * 5 + 2g * 5) = 37 -42 + 6j + (15 + 10g) = 37 Reorder the terms: -42 + 15 + 10g + 6j = 37 Combine like terms: -42 + 15 = -27 -27 + 10g + 6j = 37 Solving -27 + 10g + 6j = 37 Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '27' to each side of the equation. -27 + 10g + 27 + 6j = 37 + 27 Reorder the terms: -27 + 27 + 10g + 6j = 37 + 27 Combine like terms: -27 + 27 = 0 0 + 10g + 6j = 37 + 27 10g + 6j = 37 + 27 Combine like terms: 37 + 27 = 64 10g + 6j = 64 Add '-6j' to each side of the equation. 10g + 6j + -6j = 64 + -6j Combine like terms: 6j + -6j = 0 10g + 0 = 64 + -6j 10g = 64 + -6j Divide each side by '10'. g = 6.4 + -0.6j Simplifying g = 6.4 + -0.6j
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