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Simplifying 8(3t + -2) = 4(7t + -2) Reorder the terms: 8(-2 + 3t) = 4(7t + -2) (-2 * 8 + 3t * 8) = 4(7t + -2) (-16 + 24t) = 4(7t + -2) Reorder the terms: -16 + 24t = 4(-2 + 7t) -16 + 24t = (-2 * 4 + 7t * 4) -16 + 24t = (-8 + 28t) Solving -16 + 24t = -8 + 28t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-28t' to each side of the equation. -16 + 24t + -28t = -8 + 28t + -28t Combine like terms: 24t + -28t = -4t -16 + -4t = -8 + 28t + -28t Combine like terms: 28t + -28t = 0 -16 + -4t = -8 + 0 -16 + -4t = -8 Add '16' to each side of the equation. -16 + 16 + -4t = -8 + 16 Combine like terms: -16 + 16 = 0 0 + -4t = -8 + 16 -4t = -8 + 16 Combine like terms: -8 + 16 = 8 -4t = 8 Divide each side by '-4'. t = -2 Simplifying t = -2
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