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Simplifying 19t + -20 + -20 = 7(4t + 16) + -1t Reorder the terms: -20 + -20 + 19t = 7(4t + 16) + -1t Combine like terms: -20 + -20 = -40 -40 + 19t = 7(4t + 16) + -1t Reorder the terms: -40 + 19t = 7(16 + 4t) + -1t -40 + 19t = (16 * 7 + 4t * 7) + -1t -40 + 19t = (112 + 28t) + -1t Combine like terms: 28t + -1t = 27t -40 + 19t = 112 + 27t Solving -40 + 19t = 112 + 27t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-27t' to each side of the equation. -40 + 19t + -27t = 112 + 27t + -27t Combine like terms: 19t + -27t = -8t -40 + -8t = 112 + 27t + -27t Combine like terms: 27t + -27t = 0 -40 + -8t = 112 + 0 -40 + -8t = 112 Add '40' to each side of the equation. -40 + 40 + -8t = 112 + 40 Combine like terms: -40 + 40 = 0 0 + -8t = 112 + 40 -8t = 112 + 40 Combine like terms: 112 + 40 = 152 -8t = 152 Divide each side by '-8'. t = -19 Simplifying t = -19
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