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Simplifying 19g + 10g + -16 = -2(-18g + -7) + 19 Reorder the terms: -16 + 19g + 10g = -2(-18g + -7) + 19 Combine like terms: 19g + 10g = 29g -16 + 29g = -2(-18g + -7) + 19 Reorder the terms: -16 + 29g = -2(-7 + -18g) + 19 -16 + 29g = (-7 * -2 + -18g * -2) + 19 -16 + 29g = (14 + 36g) + 19 Reorder the terms: -16 + 29g = 14 + 19 + 36g Combine like terms: 14 + 19 = 33 -16 + 29g = 33 + 36g Solving -16 + 29g = 33 + 36g Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-36g' to each side of the equation. -16 + 29g + -36g = 33 + 36g + -36g Combine like terms: 29g + -36g = -7g -16 + -7g = 33 + 36g + -36g Combine like terms: 36g + -36g = 0 -16 + -7g = 33 + 0 -16 + -7g = 33 Add '16' to each side of the equation. -16 + 16 + -7g = 33 + 16 Combine like terms: -16 + 16 = 0 0 + -7g = 33 + 16 -7g = 33 + 16 Combine like terms: 33 + 16 = 49 -7g = 49 Divide each side by '-7'. g = -7 Simplifying g = -7
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