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Simplifying 4(t + -4) + 3 = t + 1 Reorder the terms: 4(-4 + t) + 3 = t + 1 (-4 * 4 + t * 4) + 3 = t + 1 (-16 + 4t) + 3 = t + 1 Reorder the terms: -16 + 3 + 4t = t + 1 Combine like terms: -16 + 3 = -13 -13 + 4t = t + 1 Reorder the terms: -13 + 4t = 1 + t Solving -13 + 4t = 1 + t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-1t' to each side of the equation. -13 + 4t + -1t = 1 + t + -1t Combine like terms: 4t + -1t = 3t -13 + 3t = 1 + t + -1t Combine like terms: t + -1t = 0 -13 + 3t = 1 + 0 -13 + 3t = 1 Add '13' to each side of the equation. -13 + 13 + 3t = 1 + 13 Combine like terms: -13 + 13 = 0 0 + 3t = 1 + 13 3t = 1 + 13 Combine like terms: 1 + 13 = 14 3t = 14 Divide each side by '3'. t = 4.666666667 Simplifying t = 4.666666667
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