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Simplifying 8(t + -4) + 19 = 13 + 5(t + -4) Reorder the terms: 8(-4 + t) + 19 = 13 + 5(t + -4) (-4 * 8 + t * 8) + 19 = 13 + 5(t + -4) (-32 + 8t) + 19 = 13 + 5(t + -4) Reorder the terms: -32 + 19 + 8t = 13 + 5(t + -4) Combine like terms: -32 + 19 = -13 -13 + 8t = 13 + 5(t + -4) Reorder the terms: -13 + 8t = 13 + 5(-4 + t) -13 + 8t = 13 + (-4 * 5 + t * 5) -13 + 8t = 13 + (-20 + 5t) Combine like terms: 13 + -20 = -7 -13 + 8t = -7 + 5t Solving -13 + 8t = -7 + 5t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-5t' to each side of the equation. -13 + 8t + -5t = -7 + 5t + -5t Combine like terms: 8t + -5t = 3t -13 + 3t = -7 + 5t + -5t Combine like terms: 5t + -5t = 0 -13 + 3t = -7 + 0 -13 + 3t = -7 Add '13' to each side of the equation. -13 + 13 + 3t = -7 + 13 Combine like terms: -13 + 13 = 0 0 + 3t = -7 + 13 3t = -7 + 13 Combine like terms: -7 + 13 = 6 3t = 6 Divide each side by '3'. t = 2 Simplifying t = 2
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