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Simplifying 2(g + -8) + 7 = 5(a + 2) + -3a + -18 Reorder the terms: 2(-8 + g) + 7 = 5(a + 2) + -3a + -18 (-8 * 2 + g * 2) + 7 = 5(a + 2) + -3a + -18 (-16 + 2g) + 7 = 5(a + 2) + -3a + -18 Reorder the terms: -16 + 7 + 2g = 5(a + 2) + -3a + -18 Combine like terms: -16 + 7 = -9 -9 + 2g = 5(a + 2) + -3a + -18 Reorder the terms: -9 + 2g = 5(2 + a) + -3a + -18 -9 + 2g = (2 * 5 + a * 5) + -3a + -18 -9 + 2g = (10 + 5a) + -3a + -18 Reorder the terms: -9 + 2g = 10 + -18 + 5a + -3a Combine like terms: 10 + -18 = -8 -9 + 2g = -8 + 5a + -3a Combine like terms: 5a + -3a = 2a -9 + 2g = -8 + 2a Solving -9 + 2g = -8 + 2a Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + 2g = -8 + 9 + 2a Combine like terms: -9 + 9 = 0 0 + 2g = -8 + 9 + 2a 2g = -8 + 9 + 2a Combine like terms: -8 + 9 = 1 2g = 1 + 2a Divide each side by '2'. g = 0.5 + a Simplifying g = 0.5 + a
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