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Simplifying -16 + 5t = -7(-6 + 8t) + 3 -16 + 5t = (-6 * -7 + 8t * -7) + 3 -16 + 5t = (42 + -56t) + 3 Reorder the terms: -16 + 5t = 42 + 3 + -56t Combine like terms: 42 + 3 = 45 -16 + 5t = 45 + -56t Solving -16 + 5t = 45 + -56t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '56t' to each side of the equation. -16 + 5t + 56t = 45 + -56t + 56t Combine like terms: 5t + 56t = 61t -16 + 61t = 45 + -56t + 56t Combine like terms: -56t + 56t = 0 -16 + 61t = 45 + 0 -16 + 61t = 45 Add '16' to each side of the equation. -16 + 16 + 61t = 45 + 16 Combine like terms: -16 + 16 = 0 0 + 61t = 45 + 16 61t = 45 + 16 Combine like terms: 45 + 16 = 61 61t = 61 Divide each side by '61'. t = 1 Simplifying t = 1
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