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Simplifying 8(t + -4) + -3(-3t + -8) = 16(t + -1) + -2 Reorder the terms: 8(-4 + t) + -3(-3t + -8) = 16(t + -1) + -2 (-4 * 8 + t * 8) + -3(-3t + -8) = 16(t + -1) + -2 (-32 + 8t) + -3(-3t + -8) = 16(t + -1) + -2 Reorder the terms: -32 + 8t + -3(-8 + -3t) = 16(t + -1) + -2 -32 + 8t + (-8 * -3 + -3t * -3) = 16(t + -1) + -2 -32 + 8t + (24 + 9t) = 16(t + -1) + -2 Reorder the terms: -32 + 24 + 8t + 9t = 16(t + -1) + -2 Combine like terms: -32 + 24 = -8 -8 + 8t + 9t = 16(t + -1) + -2 Combine like terms: 8t + 9t = 17t -8 + 17t = 16(t + -1) + -2 Reorder the terms: -8 + 17t = 16(-1 + t) + -2 -8 + 17t = (-1 * 16 + t * 16) + -2 -8 + 17t = (-16 + 16t) + -2 Reorder the terms: -8 + 17t = -16 + -2 + 16t Combine like terms: -16 + -2 = -18 -8 + 17t = -18 + 16t Solving -8 + 17t = -18 + 16t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-16t' to each side of the equation. -8 + 17t + -16t = -18 + 16t + -16t Combine like terms: 17t + -16t = 1t -8 + 1t = -18 + 16t + -16t Combine like terms: 16t + -16t = 0 -8 + 1t = -18 + 0 -8 + 1t = -18 Add '8' to each side of the equation. -8 + 8 + 1t = -18 + 8 Combine like terms: -8 + 8 = 0 0 + 1t = -18 + 8 1t = -18 + 8 Combine like terms: -18 + 8 = -10 1t = -10 Divide each side by '1'. t = -10 Simplifying t = -10
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